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题目大意:给定一个数n,求出一段连续的正整数的平方和等于n的方案数,并输出这些方案,注意输出格式;
循环判断条件可以适当剪支,提高效率,(1^2+2^2+..n^2)=n*(n+1)*(2n+1)/6;
尺取时一定要注意循环终止条件的判断。
#include <cstdio> #include <cstdlib> #include <cstring> #include <cmath> #include <ctime> #include <iostream> #include <algorithm> #include <string> #include <vector> #include <deque> #include <list> #include <set> #include <map> #include <stack> #include <queue> #include <numeric> #include <iomanip> #include <bitset> #include <sstream> #include <fstream> using namespace std; #define rep(i,a,n) for (int i=a;i<n;i++) #define per(i,a,n) for (int i=n-1;i>=a;i--) #define in(n) scanf("%d",&(n)) #define in2(x1,x2) scanf("%d%d",&(x1),&(x2)) #define inll(n) scanf("%I64d",&(n)) #define inll2(x1,x2) scanf("%I64d%I64d",&(x1),&(x2)) #define inlld(n) scanf("%lld",&(n)) #define inlld2(x1,x2) scanf("%lld%lld",&(x1),&(x2)) #define inf(n) scanf("%f",&(n)) #define inf2(x1,x2) scanf("%f%f",&(x1),&(x2)) #define inlf(n) scanf("%lf",&(n)) #define inlf2(x1,x2) scanf("%lf%lf",&(x1),&(x2)) #define inc(str) scanf("%c",&(str)) #define ins(str) scanf("%s",(str)) #define out(x) printf("%d\n",(x)) #define out2(x1,x2) printf("%d %d\n",(x1),(x2)) #define outf(x) printf("%f\n",(x)) #define outlf(x) printf("%lf\n",(x)) #define outlf2(x1,x2) printf("%lf %lf\n",(x1),(x2)); #define outll(x) printf("%I64d\n",(x)) #define outlld(x) printf("%lld\n",(x)) #define outc(str) printf("%c\n",(str)) #define pb push_back #define mp make_pair #define fi first #define se second #define SZ(x) ((int)(x).size()) #define mem(X,Y) memset(X,Y,sizeof(X)); typedef vector<int> vec; typedef long long ll; typedef pair<int,int> P; const int dx[4]={1,0,-1,0},dy[4]={0,1,0,-1}; const int INF=0x3f3f3f3f; const ll mod=1e9+7; ll powmod(ll a,ll b) {ll res=1;a%=mod;for(;b;b>>=1){if(b&1)res=res*a%mod;a=a*a%mod;}return res;} const bool AC=true; struct node{ ll num,a,b; }; node p[100000]; bool cmp(node x,node y){ return x.num>y.num; } int main(){ ll n,s,t,sum,k,cnt;//都设为longlong免得溢出 while(inll(n)!=EOF){ s=t=1;sum=0;k=0; while(true){ while(sum<n){ //注意循环终止条件 sum+=t*t; t++; } if(sum==n) { p[k].num=t-s; p[k].a=s; p[k++].b=t-1; } sum-=s*s; s++; if(s*s>n) break; //注意循环终止条件 } cnt=k; printf("%I64d\n",cnt);//别忘了这个 sort(p,p+k,cmp); rep(i,0,k){ printf("%I64d ",p[i].num); for(ll j=p[i].a;j<=p[i].b;j++){ printf("%I64d ",j); } printf("\n"); } } return 0; }
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原文地址:http://www.cnblogs.com/akrusher/p/5353125.html